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Assuming the 9 inches is from the pivot point to the tip of the minute hand:

In 1 hour = 60 minutes the tip of the minute hand sweeps out the circumference of a circle with radius 9 inches.

In 35 minutes, it sweeps out a fraction on 35 minutes/1 hour of this.

The circumference of a circle is given by circumference = 2 × π × radius

Therefore the tip of the minute hand moves:

length = 35/60 × 2 × π × 9 in

→ length = 21/2 π in = 10½ π in ≈ 33.0 in

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Q: How far does the tip of the minute hand of a clock move in 35 minutes if the hand is 9 inches long?
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